Accession Number:
ADA009396
Title:
Vector Lattices and Piecewise-Linear Programming.
Descriptive Note:
Research rept.,
Corporate Author:
TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES
Personal Author(s):
Report Date:
1975-03-01
Pagination or Media Count:
10.0
Abstract:
This paper exhibits a relationship between mathematical programming and the theory of vector lattices. In particular, for piecewise linear not necessarily convex programming a free vector lattice condition is shown to imply an equivalence to a linear programming problem. An extension to functions merely positively homogeneous is made as well as a vector lattice analog of the Farkas-Minkowski Theorem.
Descriptors:
Subject Categories:
- Operations Research